Question

-4x-2y=30 1/3y=7/3x+5/3 we are supposed to use substitution when solving

Answer 1

Answer:

The solution set is (-20/9, -95/9)

Step-by-step explanation:

To solve using the substitution method, start by solving the second equation for y.

1/3y = 7/3x + 5/3

y = 7x + 5

Now that we have this, we can plug it in for y in the first equation. Then we can solve for x.

-4x - 2(7x + 5) = 30

-4x - 14x - 10 = 30

-18x - 10 = 30

-18x = 40

x = -20/9

Now that we have the value of x, we can solve for y by inputting the x value into either equation.

-4x - 2y = 30

-4(-20/9) - 2y = 30

80/9 - 2y = 30

80/9 - 2y = 270/9

-2y = 190/9

y  = -95/9